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Mechanical Properties Of Fluids

Question
CBSEENPH11020584
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A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 16 V. The final pressure of the is (take straight gamma space equals space 5 over 3),

  • 64 p

  • 32 p

  • straight p over 64

  • 16 p

Solution

C.

straight p over 64

For isothermal expansion,
pV = p' x 2 V [because space straight V apostrophe space equals space 2 straight V]
p' = p/2
For adiabatic expansion,
pv to the power of straight nu space equals space constant straight p apostrophe straight v apostrophe to the power of straight nu space equals space straight p apostrophe apostrophe straight V apostrophe apostrophe to the power of straight nu straight p over 2 open square brackets 2 straight V close square brackets to the power of begin inline style bevelled 5 over 3 end style end exponent space equals space straight p apostrophe apostrophe space left square bracket 16 space straight V right square bracket to the power of begin inline style bevelled 5 over 3 end style end exponent straight p apostrophe apostrophe space equals space straight p over 2 open square brackets fraction numerator 2 straight V over denominator 16 space straight V end fraction close square brackets to the power of begin inline style bevelled 5 over 3 end style end exponent space space space space space space equals space straight p over 2 open parentheses 1 over 8 close parentheses to the power of begin inline style bevelled 5 over 3 end style end exponent space space space space space space equals space straight p over 2 open square brackets 0.03125 close square brackets space space space space space equals space 0.0156 space straight p space space space space space equals space straight p over 64

Some More Questions From Mechanical Properties of Fluids Chapter

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Define heat capacity.

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Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

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